Question

Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110°, m∠R = 70°. If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

Answer 1

Steps of Construction:

Step 1: Draw PQ = 3.5 cm.

Step 2: Draw ∠PQX = 110°.

Step 3: With Q as the center and a radius of 5.6 cm, draw an arc-cutting ray QX at R.

Step 4: Draw ∠QRY = 70°.

Step 5: With R as centre and radius 3.5 cm, draw an arc cutting ray RY at S.

Step 6: Join PS.

Here, PQRS is the required quadrilateral.

If it is given that quadrilateral PQRS is a parallelogram, then the information l(RS) = 3.5 cm and m∠R = 70° is unnecessary.